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Finding the Fourth Proportional to 202,783.80, 303,738.30 and 167,791.80

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Solution

The fourth proportional to 202,783.80, 303,738.30 and 167,791.80 is: 251,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,783.80 : 303,738.30 = 167,791.80 : x
  2. Step 2: Convert to fraction form
    202,783.80/303,738.30 = 167,791.80/x
  3. Step 3: Cross multiply
    202,783.80x = 303,738.30 × 167,791.80
  4. Step 4: Simplify right side
    202,783.80x = 50,964,796,085.94
  5. Step 5: Solve for x
    x = 50,964,796,085.94/202,783.80
  6. Step 6: Final answer
    x = 251,325.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.